On the singular set, the resolvent and Fermi's golden rule for finite volume hyperbolic surfaces

DOI10.1007/BF02567705zbMath0923.35107MaRDI QIDQ1325185

Yiannis N. Petridis

Publication date: 31 October 1999

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155935

zbMATH Keywords

perturbationFermi's golden rulemultiple eigenvalues

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

DISSOLVING OF CUSP FORMS: HIGHER‐ORDER FERMI'S GOLDEN RULES, Spectral theory of Laplacians for Hecke groups with primitive character, Perturbation of scattering poles for hyperbolic surfaces and central values of \(L\)-series, Higher Order Deformations of Hyperbolic Spectra

Cites Work

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• On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\)
• Spectral data for finite volume hyperbolic surfaces at the bottom of the continuous spectrum
• Spectral theory of schrödinger operators on euclidean and on non-euclidean spaces
• Perturbation Theory for the Laplacian on Automorphic Functions
• Scattering Theory for Automorphic Functions. (AM-87)